Starting with the advent of the quantum theory of solids [1]}, tight-binding(TB) frameworks in the basis of spatially localized Wannier functions (WF) [2]}, have been envisioned as a generic approach to compute electronic structure of materials.
Slater-Koster (SK) parametrization[3]}, [4]} of elements of a TB Hamiltonian marked the beginning of reasonable band structure calculations of solids.
With the advent of the Kohn-Sham(KS) density functional theory(DFT)
[5]}, [6]}, the mean field approximation of KS-DFT [7]}, [8]} and tight-binding parameters [9]}, [10]}, [11]} determined by fitting the energy bands at the DFT level,
have been the work horse for studies of ground states properties of materials with weak to modest localization of valence electrons
for about three decades now.
